65.75 - 36.50 = 29.25
29.25 \ 6.50 = 4.5
Your answer is 4.5 hours
Answer:
$15.30
Step-by-step explanation:
The formula for the account balance with continuous compounding is ...
A = Pe^(rt)
For the given values, this is ...
A = $3000·e^(0.05·10)
A ≈ $4946.16 . . . . balance with continuous compounding
__
The amount with quarterly compounding is ...
A = P(1 +r/n)^(nt)
A = $3000(1 +.05/4)^(4·10)
A ≈ $4930.86 . . . . balance with quarterly compounding
__
The difference is ...
$4946.16 -4930.86 = $15.30
The continuously compounded account would earn $15.30 more in 10 years.
Answer:
Total surface area is 3171m²
Step-by-step explanation:
First given the volume v= 8820m³
And the base a= 35m
We can solve for the height h using the formula
V=a²(h/3)
8820= 35²*h/3
h= (8820*3)35²
h= 26460/1225
h= 21.6m
We can now solve for the total surface area using
A= a²+2a√a²/4+h²
Substituting our data we have
A= 35²+2*35√35²/4+21.6²
A= 1225+70√1225/4+466.56
A=1225+70√772.81
A=1225+70*27.79
A= 1225+1945.9
A= 3170.9
Approximately
A= 3171m²
Probably the coordinate plane, since there are 2 number lines (which is the x and y axis). Therefore, it it perpendicular and forms a right angle. Hope this helps!